Some properties of Fibonacci dumbers, deneralized Fibonacci numbers and generalized Fibonacci polynomial sequences

Laugier, Alexandre and Saikia, Manjil P. 2017. Some properties of Fibonacci dumbers, deneralized Fibonacci numbers and generalized Fibonacci polynomial sequences. Kyungpook mathematical journal 57 (1) , pp. 1-84. 10.5666/KMJ.2017.57.1.1

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Abstract

In this paper we study the Fibonacci numbers and derive some interesting properties and recurrence relations. We prove some charecterizations for Fp, where p is a prime of a certain type. We also define period of a Fibonacci sequence modulo an integer, m and derive certain interesting properties related to them. Afterwards, we derive some new properties of a class of generalized Fibonacci numbers. In the last part of the paper we introduce some generalized Fibonacci polynomial sequences and we derive some results related to them.

Item Type:	Article
Date Type:	Publication
Schools:	Schools > Mathematics
ISSN:	1225-6951
Date of First Compliant Deposit:	9 March 2020
Date of Acceptance:	13 May 2015
Last Modified:	17 Nov 2024 09:30
URI:	https://orca.cardiff.ac.uk/id/eprint/130183

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